f(X)=limit m tending to infinity limit n tending to infinity cosine to the power 2m (n factorial pi X). find the range of f(X).

Dear Prateek Ram.

Ans:- cosine to the power 2m (n factorial pi x)

where both m and n tends to infinity.

=[cos^m(n! ∏x)]²

now  -1<cosθ<1

or 0<cos²θ<1    

hence the range is R € [0,1]   

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